Answer:
a₄₉ = 296
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence, that is
14 - 8 = 6
20 - 14 = 6
This indicates the sequence is arithmetic with nth term
• [tex]a_{n}[/tex] = a₁ + (n - 1)d
a₁ is the first term, d the common difference , n the term position
here a₁ = 8 , d = 6 and n = 49 , then
a₄₉ = 8 + (48 × 6) = 8 + 288 = 296
Answer:
296
Step-by-step explanation:
We are given an arithmetic sequence:
[tex]8, \ 14, \ 20, ...[/tex]
This means that there is a common difference ([tex]d[/tex]) between each pair of consecutive terms.
To find this difference, we can simply subtract any term from the next term:
[tex]d = 20 - 14 = 6[/tex]
We can add 48 times this to the first term to get the 49th term:
[tex]a_{49} = 8 + 48(6)[/tex]
[tex]a_{49} = 8 + 288[/tex]
[tex]a_{49} = 296[/tex]